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Mirrors > Home > ILE Home > Th. List > 3netr3g | Unicode version |
Description: Substitution of equality into both sides of an inequality. (Contributed by NM, 24-Jul-2012.) |
Ref | Expression |
---|---|
3netr3g.1 |
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3netr3g.2 |
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3netr3g.3 |
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Ref | Expression |
---|---|
3netr3g |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3netr3g.1 |
. 2
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2 | 3netr3g.2 |
. . 3
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3 | 3netr3g.3 |
. . 3
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4 | 2, 3 | neeq12i 2279 |
. 2
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5 | 1, 4 | sylib 121 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 582 ax-in2 583 ax-5 1388 ax-gen 1390 ax-4 1452 ax-17 1471 ax-ext 2077 |
This theorem depends on definitions: df-bi 116 df-cleq 2088 df-ne 2263 |
This theorem is referenced by: (None) |
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